Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
376 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 133 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #16838030 | C2 | semidirect |
| 3. #16837712 | C2 | semidirect |
| 4. #16837701 | C2 | semidirect |
| 5. #16837696 | C2 | semidirect |
| 6. #16837681 | C2 | semidirect |
| 7. C2×#14273660 | C2 | semidirect |
| 8. #16837430 | C2 | semidirect |
| 11. C59×#428 | C2 | semidirect |
| 46. #11745685 | Q8 | semidirect |
| 130. #428 | D59 | semidirect |
| 135. C59 | #3083 | semidirect |